Capillary Number - Christopher Sparages: Difference between revisions

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Droplet formation is controlled by the formation and deformation of the liquid-liquid interface between the two immiscible phases. There are many forces which acts on droplet formation, but the most prominent among them is the capillary number. The capillary number represents the ratio of viscosity to interfacial tension and with an increase in capillary number, there is a decrease in droplet diameter. To be more specific, spherical droplets form at low capillary values and long liquid plugs at high capillary values ([[Droplet_Microfluidics:_T-Junction_-_Lina_Wu | Droplet Microfluidics: T-Junction]]).<sup>Liu</sup>
Droplet formation is controlled by the formation and deformation of the liquid-liquid interface between the two immiscible phases. There are many forces which acts on droplet formation, but the most prominent among them is the capillary number. The capillary number represents the ratio of viscosity to interfacial tension and with an increase in capillary number, there is a decrease in droplet diameter. To be more specific, spherical droplets form at low capillary values and long liquid plugs at high capillary values ([[Droplet_Microfluidics:_T-Junction_-_Lina_Wu | Droplet Microfluidics: T-Junction]]).<sup>Liu</sup>


Squeezing, dripping, and jetting are other events that occur in droplet microfluidics. In the case of squeezing mode, low capillary numbers are used to produce droplets, in doing so a pressure gradient is formed across the droplet upon being formed. They droplets travel as plugs. In the case of dripping mode, viscous shear stress and interfacial tension compete as the capillary number increases with flow rate and the droplet fluid is broken up along its pathway through the channel. The droplets travel as small drips. Lastly, by increasing the capillary number and forces farther jetting occurs, resulting in droplets traveling as either spheres or plugs ([[Droplet_Microfluidics:_T-Junction_-_Lina_Wu | Droplet Microfluidics: T-Junction]]).<sup>14</sup>
Squeezing, dripping, and jetting are other events that occur in droplet microfluidics. In the case of squeezing mode, low capillary numbers are used to produce droplets, in doing so a pressure gradient is formed across the droplet upon being formed. They droplets travel as plugs. In the case of dripping mode, viscous shear stress and interfacial tension compete as the capillary number increases with flow rate and the droplet fluid is broken up along its pathway through the channel. The droplets travel as small drips. Lastly, by increasing the capillary number and forces farther jetting occurs, resulting in droplets traveling as either spheres or plugs ([[Droplet_Microfluidics:_T-Junction_-_Lina_Wu | Droplet Microfluidics: T-Junction]]).<ref name="eight">Ralf Seemann et al 2012 Rep. Prog. Phys. 75 016601. https://dx.doi.org/10.1088/0034-4885/75/1/016601</ref>


===Capillary Valving===
===Capillary Valving===
Capillary valves have been implemented frequently on CD fluidic platforms. The idea behind them is that they are controlled by surface tension, which occurs when the cross-section of the hydrophilic capillaries drastically expands. This expansion typically leads into a reservoir for the liquid to gather in. The pressure resulting from the rotation of the CD device increases the forces and capillary number in the channel. As a result, the capillary valve can be overcome and droplets can form and progress into the larger expanded portion of the microfluidic channel. Based on the forces and capillary number affecting the fluid, determines the potential of overcoming the forces of the capillary valve.<sup>13</sup>
Capillary valves have been implemented frequently on CD fluidic platforms. The idea behind them is that they are controlled by surface tension, which occurs when the cross-section of the hydrophilic capillaries drastically expands. This expansion typically leads into a reservoir for the liquid to gather in. The pressure resulting from the rotation of the CD device increases the forces and capillary number in the channel. As a result, the capillary valve can be overcome and droplets can form and progress into the larger expanded portion of the microfluidic channel. Based on the forces and capillary number affecting the fluid, determines the potential of overcoming the forces of the capillary valve.<ref name="seven">Madou, M., Zoval, J., Jia, G., Kido, H., Kim, J., & Kim, N. (2006). Lab on a CD. The Annual Review of Biomedical Engineering. https://dx.doi.org/10.1146/annurev.bioeng.8.061505.095758</ref>


==References==
==References==
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